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Finding the Third Proportional to 127,962 and 279,216

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Solution

The third proportional to 127,962 and 279,216 is: 609,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,962 : 279,216 = 279,216 : x
  2. Step 2: Convert to fraction form
    127,962/279,216 = 279,216/x
  3. Step 3: Cross multiply
    127,962x = 279,216 × 279,216
  4. Step 4: Simplify right side
    127,962x = 77,961,574,656
  5. Step 5: Solve for x
    x = 77,961,574,656/127,962
  6. Step 6: Final answer
    x = 609,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.